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Finding the Fourth Proportional to 83,860.96, 125,733.12 and 31,256.32

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Solution

The fourth proportional to 83,860.96, 125,733.12 and 31,256.32 is: 46,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860.96 : 125,733.12 = 31,256.32 : x
  2. Step 2: Convert to fraction form
    83,860.96/125,733.12 = 31,256.32/x
  3. Step 3: Cross multiply
    83,860.96x = 125,733.12 × 31,256.32
  4. Step 4: Simplify right side
    83,860.96x = 3,929,954,633.32
  5. Step 5: Solve for x
    x = 3,929,954,633.32/83,860.96
  6. Step 6: Final answer
    x = 46,862.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.